Acronym thi
Name truncated hecatonicosachoron
Cross sections
 ©
Circumradius sqrt[34+15 sqrt(5)] = 8.218334
Vertex figure
 ©
General of army (is itself convex)
Colonel of regiment (is itself locally convex – uniform polychoral members:
by cells: tet tid
thi 600120
)
Dihedral angles
  • at {3} between tet and tid:   arccos(-sqrt[7+3 sqrt(5)]/4) = 157.761244°
  • at {10} between tid and tid:   144°
Confer
decompositions:
xhi || thi  
External
links
hedrondude   wikipedia   WikiChoron   quickfur

As abstract polytope thi is isomorphic to quit gogishi, thereby replacing the decagons by decagrams, resp. replacing tid by quit gissid.

Note that thi can be thought of as the external blend of 1 xhi + 600 tetatuts + 1200 pens + 120 tiatids. This decomposition is described as the degenerate segmentoteron oo3xo3xx5ox&#x.


Incidence matrix according to Dynkin symbol

o3o3x5x

. . . . | 2400 |    3    1 |    3   3 |   1   3
--------+------+-----------+----------+--------
. . x . |    2 | 3600    * |    2   1 |   1   2
. . . x |    2 |    * 1200 |    0   3 |   0   3
--------+------+-----------+----------+--------
. o3x . |    3 |    3    0 | 2400   * |   1   1
. . x5x |   10 |    5    5 |    * 720 |   0   2
--------+------+-----------+----------+--------
o3o3x .     4 |    6    0 |    4   0 | 600   *
. o3x5x    60 |   60   30 |   20  12 |   * 120

snubbed forms: o3o3β5x, o3o3x5β, o3o3β5β

o3o3/2x5x

. .   . . | 2400 |    3    1 |    3   3 |   1   3
----------+------+-----------+----------+--------
. .   x . |    2 | 3600    * |    2   1 |   1   2
. .   . x |    2 |    * 1200 |    0   3 |   0   3
----------+------+-----------+----------+--------
. o3/2x . |    3 |    3    0 | 2400   * |   1   1
. .   x5x |   10 |    5    5 |    * 720 |   0   2
----------+------+-----------+----------+--------
o3o3/2x .     4 |    6    0 |    4   0 | 600   *
. o3/2x5x    60 |   60   30 |   20  12 |   * 120

o3/2o3x5x

.   . . . | 2400 |    3    1 |    3   3 |   1   3
----------+------+-----------+----------+--------
.   . x . |    2 | 3600    * |    2   1 |   1   2
.   . . x |    2 |    * 1200 |    0   3 |   0   3
----------+------+-----------+----------+--------
.   o3x . |    3 |    3    0 | 2400   * |   1   1
.   . x5x |   10 |    5    5 |    * 720 |   0   2
----------+------+-----------+----------+--------
o3/2o3x .     4 |    6    0 |    4   0 | 600   *
.   o3x5x    60 |   60   30 |   20  12 |   * 120

o3/2o3/2x5x

.   .   . . | 2400 |    3    1 |    3   3 |   1   3
------------+------+-----------+----------+--------
.   .   x . |    2 | 3600    * |    2   1 |   1   2
.   .   . x |    2 |    * 1200 |    0   3 |   0   3
------------+------+-----------+----------+--------
.   o3/2x . |    3 |    3    0 | 2400   * |   1   1
.   .   x5x |   10 |    5    5 |    * 720 |   0   2
------------+------+-----------+----------+--------
o3/2o3/2x .     4 |    6    0 |    4   0 | 600   *
.   o3/2x5x    60 |   60   30 |   20  12 |   * 120

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